Carol – I don’t know what State / Territory you’re in, but in NSW it’s customary although not desirable in my opinion, for Strata Managers to request attendees at a General Meeting that’s necessarily adjourned (e.g. due to no quorum) to provide open proxies in his/her favour for use at the reconvened Meeting in order to negate the need for those Owners to again attend.
Apart from personally re-attending at the reconvened General Meeting, a proxy is the only way that those Owners originally in attendance can then vote on the Motions to be put, so if you and the other attendees wish of your own volition, as opposed to the Strata Managers expedient request, to grant proxies then at least indicate clearly how you each wish him/her to vote on each Motion.
So in summary your understanding is correct; there was no quorum, there was no Meeting, there could be no vote, and psychic or not whatever it was that your Strata Manager “felt” that a vote may have been that’s of no consequence.
My advice – unless you and the others are completely satisfied with all Agenda Motions and they’re all innocuous in your opinion/s, then either provide new proxies including voting instructions on each Motion OR personally attend the reconvened Meeting; both options will invalidate any proxies that any of you may have granted.